A conventional spiral spring with a weight will have two components,
torsion and extension.

In general, if the mass has a diameter and moment of inertia, the
torsion frequency will not match with the compression - extension
frequency.

The length of the spring can be changed until the frequencies match; the mass rotates up and down in the same spiral path.

Has anyone down anything analytical with this?

Bret Cahill

In general, if the mass has a diameter and moment of inertia, the

The length of the spring can be changed until the frequencies match; the mass rotates up and down in the same spiral path.

Has anyone down anything analytical with this?

Bret Cahill